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Finding the Fourth Proportional to 6,814.60, 9,403 and 3,830.04

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Solution

The fourth proportional to 6,814.60, 9,403 and 3,830.04 is: 5,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.60 : 9,403 = 3,830.04 : x
  2. Step 2: Convert to fraction form
    6,814.60/9,403 = 3,830.04/x
  3. Step 3: Cross multiply
    6,814.60x = 9,403 × 3,830.04
  4. Step 4: Simplify right side
    6,814.60x = 36,013,866.12
  5. Step 5: Solve for x
    x = 36,013,866.12/6,814.60
  6. Step 6: Final answer
    x = 5,284.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.